—Recursive subdivision schemes have been extensively used in computer graphics, computer-aided geometric design, and scientific visualization for modeling smooth surfaces of arbi...
We construct CW spheres from the lattices that arise as the closed sets of a convex closure, the meet-distributive lattices. These spheres are nearly polytopal, in the sense that t...
Louis J. Billera, Samuel K. Hsiao, J. Scott Provan
Many engineering design applications require geometric modeling and mechanical simulation of thin flexible structures, such as those found in the automotive and aerospace industri...
Fehmi Cirak, Michael J. Scott, Erik K. Antonsson, ...
This paper presents a new unified subdivision scheme that is defined over a k-simplicial complex in n-D space with k 3. We first present a series of definitions to facilitate top...
We have previously proposed a new technique for the communication-free adaptive refinement of tetrahedral meshes that works for all configurations. Implementations of the scheme mu...